Answer:
[tex]\boxed {\boxed {\sf 3 \ meters}}[/tex]
Explanation:
Work is the product of force and distance.
[tex]W=F*d[/tex]
We know the force to lift the rock was 50 Newtons. The work was 150 Joules.
[tex]W= 150 \ N*m \\F= 50 \ N[/tex]
Substitute the values into the formula.
[tex]150 \ N*m= 50 \ N * d[/tex]
We want to solve for distance, so we must isolate the variable. Divide both sides of the equation by 50 Newtons.
[tex]\frac{150 \ N*m}{50 \ N }=\frac{50 \ N * d}{50 \ N }[/tex]
The Newtons will cancel out.
[tex]\frac{150 \ m }{50} =d \\3 \ m =d[/tex]
The rock was lifted 3 meters.
